A 2-column table with 7 rows. Column 1 is labeled item with entries Potato soup, vegan chili, rice pilaf, subtotal, sales tax (5 percent), Gratuity (15 percent), Total. Column 2 is labeled Price with entries 2 dollars and 49 cents, 3 dollars and 20 cents, 4 dollars and 50 cents, 10 dollars and 19 cents, 56 cents, blank, blank. A family’s lunch bill is $10.19 before tax and tip. Using the percents shown for sales tax and gratuity, how much money should the family pay if the gratuity is calculated after tax? $11.80 $12.16 $12.28 $12.36

Answer:

Yes

Step-by-step explanation:

Plug the given values in for x  and y to check (1,1) = (x,y)

6(1)+6(1) < 15

6+6 < 15

12<15

12 is less than 15 therefore (1,1) is a solution

Answer:

880.328 = 800 + 80 +0.3 + 0.02 + 0.008​

Answer:

173 - 124 = then do thatb divided by each seat 2

Step-by-step explanation:

Answer:

Value is 2

Step-by-step explanation:

f(3)= 1/4 x  2^(3)      ------- 2 x 2 x 2= 8

1/4 x 8    = 8/4 = 2

Answer:

Question 1) Is option C: 2. (Question 2) The correct answer is 1.09 for the K12 program. Question 3) Option A: The value of a motorcycle decreases by 12% each year. (Option C) Every year, the number of online subscribers to a service is 4 times what it was the previous year.

The ratio of outputs for any two inputs that are one value apart is 4 thus option (A) is correct. The ratio of outputs for any two inputs that are two values apart is 1/8. The situation in option (3) represents the exponential function.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given table,

The ratio of outputs for any two inputs that are one value apart = (-1/2)/(-1/8) = 4

The ratio of outputs for any two inputs that are two values apart = (-1/8)/(-1) = 1/8

Every year, the number of online subscribers to a service is 4 times what it was the previous year's exponential function with a 4^x exponent.

Hence "The ratio of outputs for any two inputs that are one value apart is 4. The ratio of outputs for any two inputs that are two values apart is 1/8 and the third statement shows exponential function".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ2

The probability that the selected member is 21 or more is 88%.

The probability that the selected member is 55 or less is 86%.

The probability that the selected member is not in the 21 to 35 age group is 58%.

The basic probability formula of dividing the number of favorable outcomes by the total number of outcomes.

In this case, we are given the percentage of members in each age group, and we need to find the probability of selecting a member with a certain age range.

Here we have

The table shows the age distribution of members of a gym.  

Age -            Under 21      21 -35     36 - 55   Over 55

percentage       12                42            32          14  

a) To find the probability that the selected member is 21 or more,

Add the percentage of members who are 21-35, 36-55, and over 55 since all of these age groups are 21 or more.

Probability (21 or more)

= Percentage (21-35) + Percentage (36-55) + Percentage (Over 55)

= 42% + 32% + 14%

= 88%

b) To find the probability that the selected member is 55 or less,  

Add the percentage of members who are under 21, 21-35, and 36-55 since all of these age groups are 55 or less.

Probability (55 or less)

= Percentage (Under 21) + Percentage (21-35) + Percentage (36-55)

= 12% + 42% + 32%

= 86%

c) To find the probability that the selected member is not in the 21 to 35 age group,

Add the percentage of members who are under 21, 36-55, and over 55 since all of these age groups are not in the 21 to 35 age group.

Probability (not in the 21 to 35 age group)

= Percentage (Under 21) + Percentage (36-55) + Percentage (Over 55)

= 12% + 32% + 14%

= 58%

Therefore,

The probability that the selected member is 21 or more is 88%.

The probability that the selected member is 55 or less is 86%.

The probability that the selected member is not in the 21 to 35 age group is 58%.

Learn more about Probability at

https://brainly.in/question/34187875

#SPJ9

The cost price of the shorts is K22.50.

To find the cost price of the shorts, we need to reverse calculate the original price before the markup and taxes were applied.

Let's assume the cost price of the shorts is represented by C.

The markup of 17% is applied to the cost price, which means the selling price (including the markup) is 117% of the cost price.

117% of the cost price C can be calculated as (117/100) * C.

GST (Goods and Services Tax) is also included in the selling price. GST is typically calculated as a percentage of the selling price. In this case, the selling price of the shorts including GST is K29.25.

Since the GST is included in the selling price, we can subtract it from the selling price to obtain the selling price before GST.

Let's assume the GST rate is R% (as a decimal), then the selling price before GST can be calculated as:

Selling price before GST = Selling price - (Selling price × R)

In this case, the selling price before GST is K29.25, and the GST rate is 17% (0.17 as a decimal). Substituting these values into the equation, we have:

K29.25 = Selling price - (Selling price × 0.17)

Simplifying the equation

K29.25 = Selling price × (1 - 0.17)

K29.25 = Selling price × 0.83

Selling price = K29.25 / 0.83

Now we can substitute the selling price in terms of the cost price:

K29.25 / 0.83 = (117/100) × C

Simplifying the equation:

C = (K29.25 / 0.83) × (100/117)

Calculating the cost price C:

C = K22.50

Therefore, the cost price of the shorts is K22.50.

for such more question on cost price

https://brainly.com/question/25799822

#SPJ11

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer:

\(\fbox{8a+10 = 6}\)

Step-by-step explanation:

\(2-3a =4+a\)

Adding 3a both side,

\(2 - \cancel{3a} + \cancel{3a} =4+a + 3a\)

\(2 = 4 + 4a\)

Subtracting 4 from both the side,

\(2 - 4 = \cancel4 - \cancel4 + 4a\)

\(4a = - 2\)

Now we have to find the value of 8a+10,

\(8a+10 = 2(4a) + 10\)

\(8a+10 = 2 \times ( - 2) + 10 \\ 8a+10 = - 4 + 10 \\ \fbox{8a+10 = 6}\)

\( \small\sf Thanks \: for \: joining \: brainly \: community!\)

Hey! there

Answer:

Step-by-step explanation:

In this question we are given with an equation that is 2 - 3a = 4 + a . And we are asked to find the value of 8a + 10 .

So , for finding the value of 8a + 10 , we need to find the value of 'a' with the help of given equation.

\(\longmapsto \qquad \: \it{2 - 3a = 4 + a}\)

Step 1 : Adding '3a' on both sides :

\(\longmapsto \qquad \: \it{2 - \:\bold{ \cancel{3a}} + \bold{ \cancel{3a}} = 4 + \bold{a} + \bold{3a}}\)

On further solving,

\(\longmapsto \qquad \: \it{2 = 4 + 4a}\)

Step 2 : Subtracting with '2' on both sides :

\(\longmapsto \qquad \: \it{ \cancel{\bold{2 }} - \cancel{\bold{2 }}= \bold{ 4 }+ 4a - \bold{ 2}}\)

On further solving,

\(\longmapsto \qquad \: \it{0 = 2 + 4a}\)

Step 3 : Subtracting '4a' on both side s:

\(\longmapsto \qquad \: \it{0 - 4a= 2+ \cancel{\bold{4a}} - \cancel{\bold{4a}}}\)

On further solving,

\(\longmapsto \qquad \: \it{ - 4a= 2}\)

Step 4 : Dividing both sides by 4 :

\(\longmapsto \qquad \: \it{ \dfrac{ \cancel{- 4}a}{ \cancel{4}} = \cancel{ \dfrac{2}{4} }}\)

On further solving,

\(\longmapsto \qquad \: \it{ - a= \dfrac{1}{2} }\)

Step 5 : Multiplying both sides by '-1' :

\(\longmapsto \qquad \: \it{ - a \times (- 1)= \dfrac{1}{2} \times ( - 1) }\)

We get,

\(\longmapsto \qquad \: \it{ \boxed{\boxed{ \bold{a= - \dfrac{ 1}{2} }}}}\)

Now , substituting value of a in given expression that is 8a + 10 :

\( \longrightarrow \quad \: \frak{ \cancel{8} \times ( - \dfrac{1}{ \cancel{2}} ) + 10}\)

We get :

\(\longrightarrow \quad \: \frak{ 4 \times - 1 + 10}\)

\(\longrightarrow \quad \: \frak{ (- 4) + 10}\)

\(\longrightarrow \quad \: \frak{ \red{\underline{\red{\boxed{ 6}}}}} \quad \bigstar\)

The correct option is A) 20.2.

What is triangle sum?

The triangle sum is a property of triangles that states that the sum of the interior angles of a triangle is always equal to 180 degrees. In other words, if you add up the measures of the three angles inside a triangle, the result will always be 180 degrees.

Using the given information and the fact that the angles in a triangle sum to 180 degrees, we can find the value of x as follows:

Start by finding the measure of angle K by subtracting the measures of angles A and B from 180 degrees:

K = 180 - A - B

= 180 - 84 - 65

= 31 degrees

Use the law of sines to set up an equation relating the side lengths and corresponding angle measures:

sin(A)/x = sin(K)/17

Substitute the values we know into the equation and solve for x:

sin(84)/x = sin(31)/17

x = sin(84)*17/sin(31)

Using a calculator, we get:

x ≈ 20.2

Therefore, the value of x in the triangle is approximately 20.2.

So, the correct option is A) 20.2.

To know more about triangle sum visit:

https://brainly.in/question/28314721

#SPJ9

Answer:

27/14 or 1 13/14

Step-by-step explanation:

First you simplify the problem to 3/7 × 9/2. then you multiply them to get 27/14 or 1 13/14.

Answer:

24/7 × 9/16

6/7 × 9/4

3/7 × 9/2

27/4

=6.75

Step-by-step explanation:

in dividing this equation, 4 can divide both 24 and 16 so 4 will divide 16 4 times and divide 24 6times. also 2 can divide 4 2times and divide 6 times so you will be having the third method. then you multiply them since you can have any number dividing them. your answer will be 27/4 which is an improper so you will either change it to decimals or mixed fraction

The value of angle RPQ in the circle is 115 degrees.

Using angles of intersecting chord theorem, If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore,

∠RPQ = 1  / 2 (arc angle RQ + arc angle SA)

arc angle RQ = 175 degrees

arc angle SA = 55 degrees

Hence,

∠RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115 degrees.

learn more on circle theorem here: https://brainly.com/question/24509783

#SPJ1

Answer: 115 degrees

Step-by-step explanation:∠

RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115 degrees.

Answer:

B

Step-by-step explanation:

C(x) = (12,000x - 0.02x^3) - (3000x - 0.002x^3)

C(x) = 12,000x - 0.02x^3 - 3000)x + 0.002x^3

C(x) = (12,000 - 3,000)x + (-0.02 - 0.002)x^3

= 9000x - 0.018x^3

Answer:

4.8

Step-by-step explanation:

the product of (x + 3/x)² is x² + 6 + 9/x².

Why it is and what is Algebra?

To find the product of (x + 3/x)², we can use the formula for squaring a binomial:

(a + b)² = a² + 2ab + b²

In this case, we have a = x and b = 3/x, so we can substitute these values into the formula and simplify:

(x + 3/x)² = x² + 2(x)(3/x) + (3/x)²

= x² + 6 + 9/x²

Therefore, the product of (x + 3/x)² is x² + 6 + 9/x².

Algebra is a branch of mathematics that deals with the study of mathematical symbols and the rules for manipulating these symbols. It involves the use of letters and symbols to represent numbers and quantities in equations and expressions. The primary goal of algebra is to solve mathematical problems and equations using various operations such as addition, subtraction, multiplication, and division.

Algebraic concepts can be applied to a wide range of mathematical and real-world problems, including geometry, physics, engineering, economics, and statistics.

To know more about Algebra related questions visit:

https://brainly.com/question/24875240

#SPJ1

Complete question:

Find the product of (x + 3/x)²2.

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Answer:

write 4/27 as the product of a prime raised to a power

Answer:

481

Step-by-step explanation:

The simplest form of the expression given as 3x + 9/x² - 9 is 3/(x - 3)

From the question, we have the following parameters that can be used in our computation:

3x + 9/x² - 9

Introduce brackets in the above expression to differentiate between the numerator and the denominator

So, we have the following representation

(3x + 9)/(x² - 9)

Express x² - 9 as difference of two squares

This gives

(3x + 9)/(x² - 9) = (3x + 9)/(x - 3)(x + 3)

So, we have

(3x + 3)/(x² - 9) = 3(x + 3)/(x - 3)(x + 3)

Divide the common factors

(3x + 3)/(x² - 9) = 3/(x - 3)

Hence, the solution is 3/(x - 3)

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

Complete question

Assuming that no denominator equals zero, what is the simplest form of this expression?

3x + 9/x² - 9

The percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.

The total number of water bottles the company manufactured in February, March, and April.

In February, the company manufactured 4,100 water bottles. In March, the company manufactured 7% more water bottles than in February, which is 7/100 * 4,100 = 287 water bottles.

Therefore, the total number of water bottles the company manufactured in March is 4,100 + 287 = 4,387 water bottles. In April, the company manufactured 500 more water bottles than in March, which is 4,387 + 500 = 4,887 water bottles.

This is calculated as (4,887 - 4,100) / 4,100 = 0.195 or 19.5%.

Therefore, the percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.

Learn more about percentages, here:

https://brainly.com/question/29306119

#SPJ1

Answer:

The gain percent made by shopkeeper is 10.5%.

Step-by-step explanation:

Given:

Price at which goods are marked = 30%

Discount on the marked price = 15%

To Find:

Gain percentage of the shopkeeper

Solution:

Let the cost price of the product be = 100

Therefore,

MP = 30 + 100 = 130

Since discount is 15%. thus -

Discount = 15/100 x 130

= 19.5

Selling price = MP - Discount

SP = 130 - 19.5

= 110.5

Profit = SP - CP

= 110.5 - 100

= 10.5

Calculating the gain%

Gain% = 10.5/100 x 100

= 10.5

Answer: The gain percent made by shopkeeper is 10.5%.

Answer:

Assuming that d=diameter, then

C=43.96cm

Step-by-step explanation:

Diameter=14cm

14x3.14=43.96cm

From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

Learn more on inequality graph here: https://brainly.com/question/24372553

#SPJ1

Answer:

38.5...............

Step-by-step explanation:

(11×7)/2.

So, the equation of the axis of the segment AB is (A) y = 1/2 - x/2.

What is slope?

In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.

The slope of the line passing through points A and B can be calculated as follows:

slope = (change in y) / (change in x) = (1-0) / (1-0) = 1/1 = 1

The equation of a line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

To find the y-intercept, we can use point A (0,0) and substitute the slope value.

y = mx + b

0 = 1(0) + b

b = 0

Therefore, the equation of the line passing through points A and B is:

y = 1x + 0

Simplifying, we get:

y = x

So, the answer is (A) y = 1/2 - x/2. However, this is not one of the given answer choices. We can also write the equation in point-slope form as y - y1 = m(x - x1) using point A, which gives:

y - 0 = 1(x - 0)

y = x

This confirms our earlier answer.

To learn more about slope from the given link:

https://brainly.com/question/2491620

#SPJ1

Answer:

For each game, the player should be expected to lose $0.0263.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of each outcome:

1/38 probability of winning, that is, 1/38 probability of receiving $36.

37/38 probability of losing, that is, 37/38 probability of losing $1.

On average, how much money should a player expect to win or lose if they play this game repeatedly?

For each game:

\(E(X) = \frac{1}{38}*36 - \frac{37}{38}*1 = \frac{36 - 37}{38} = -\frac{1}{38} = -0.0263\)

For each game, the player should be expected to lose $0.0263.

Answer:

Step-by-step explanation:

5,212 ÷ 17 is 306 r10

A Yes B No

8,793 ÷ 8,793 is 209 r15

A Yes B No

1,272 ÷ 24 is 52

A Yes B No

Answer:

it decreased by 45 degrees f

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The change in temperature.

= Final temperature - Initial temperature

The change in temperature is -45°F

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The temperature at the time of bed.

Initial temperature = 36° F

The temperature when she woke up.

Final temperature = -9° F

The change in temperature.

= Final temperature - Initial temperature

= -9 - 36

= 45°F

This means that there was a change of 45°F from the time when she went to bed till the time she woke up.

Thus,

The change in temperature is -45°F

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2